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100149825241 is a prime number
BaseRepresentation
bin101110101000101100…
…1010000111011011001
3100120111121120020211201
41131101121100323121
53120101323401431
6114001434154201
710143543316534
oct1352131207331
9316447506751
10100149825241
1139522a69014
12174abb82961
1395a0879c2b
144bc0d01a1b
152912482461
hex1751650ed9

100149825241 has 2 divisors, whose sum is σ = 100149825242. Its totient is φ = 100149825240.

The previous prime is 100149825233. The next prime is 100149825263. The reversal of 100149825241 is 142528941001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99111632400 + 1038192841 = 314820^2 + 32221^2 .

It is a cyclic number.

It is not a de Polignac number, because 100149825241 - 23 = 100149825233 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100149825241.

It is not a weakly prime, because it can be changed into another prime (100149825211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50074912620 + 50074912621.

It is an arithmetic number, because the mean of its divisors is an integer number (50074912621).

Almost surely, 2100149825241 is an apocalyptic number.

It is an amenable number.

100149825241 is a deficient number, since it is larger than the sum of its proper divisors (1).

100149825241 is an equidigital number, since it uses as much as digits as its factorization.

100149825241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23040, while the sum is 37.

The spelling of 100149825241 in words is "one hundred billion, one hundred forty-nine million, eight hundred twenty-five thousand, two hundred forty-one".